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Demonstrate that 1==-1

• To: mathgroup at smc.vnet.net
• Subject: [mg23171] Demonstrate that 1==-1
• From: "Alberto Verga" <verga at marius.univ-mrs.fr>
• Date: Thu, 20 Apr 2000 23:48:43 -0400 (EDT)
• Organization: Universite de la Mediterranee Aix en Provence
• Sender: owner-wri-mathgroup at wolfram.com

Compute
Integrate[(1 + a/E^(I*u))/(-1 + a/E^(I*u)), {u, 0, 2*Pi}]

Mathematica gives -2Pi

Now multiply the numerator and the denominator by -1

Integrate[(-1 - a/E^(I*u))/(1 - a/E^(I*u)), {u, 0, 2*Pi}]

Mathematica gets 2*Pi

This is only possible if 1==-1

Is this another bug in Limit?

Alberto Verga
irphe - Marseille

• Follow-Ups:
  • Re: Demonstrate that 1==-1
    • From: Daniel Lichtblau <danl@dragonfly.wolfram.com>